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Master theorem | Solving Recurrences

The Master Method is a formula-based approach used to determine the time complexity of divide-and-conquer algorithms by solving recurrence relations of the form T(n) = aT(n divided by b) plus f(n), where a is greater than or equal to 1 and b is greater than 1, and f(n) is an asymptotically positive function. It compares the function f(n) to n raised to the power of log base b of a to determine which part dominates the recurrence. Based on this comparison, the Master Theorem provides three cases that yield asymptotic bounds for T(n), helping quickly analyze the complexity without solving the recurrence from scratch.

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